A022674 Expansion of Product_{m >= 1} (1-m*q^m)^14.

1, -14, 63, -14, -651, 1162, 2198, -3432, -12320, -7098, 87479, 45024, -185038, -348250, -435473, 1642942, 2806839, 1366078, -7970459, -25275068, -631813, 38994650, 112439376, 112528514, -136016069, -535046498

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Programs

Magma

Coefficients(&*[(1-m*x^m)^14:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^14, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 18 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^14)) \\ G. C. Greubel, Jul 18 2018